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Finding the Fourth Proportional to 31,742.84, 43,802.82 and 17,400.38

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Solution

The fourth proportional to 31,742.84, 43,802.82 and 17,400.38 is: 24,011.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,742.84 : 43,802.82 = 17,400.38 : x
  2. Step 2: Convert to fraction form
    31,742.84/43,802.82 = 17,400.38/x
  3. Step 3: Cross multiply
    31,742.84x = 43,802.82 × 17,400.38
  4. Step 4: Simplify right side
    31,742.84x = 762,185,713.07
  5. Step 5: Solve for x
    x = 762,185,713.07/31,742.84
  6. Step 6: Final answer
    x = 24,011.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.